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Preserving Properties of the Double Integral Operators

  • Parviz ArjomandiniaEmail author
  • Rasoul Aghalary
Research Paper
  • 41 Downloads

Abstract

We consider the subclass \(S(\beta ,\gamma )\) of the normalized analytic functions. The extended form of this class was introduced and investigated by Aghalary et al. (Tamkang J Math 39(4):325–334, 2008). In the present paper, we define two double integral operators which preserve properties of this class. Applications and consequences of the main results are also considered.

Keywords

double integral operator Hadamard product Normalized analytic function 

Mathematics Subject Classification

Primary 30C45 Secondary 30C80 

References

  1. Aghalary R, Ebadian A, Shams S (2008) Geometric properties of some linear operators defined by convolution. Tamkang J Math 39(4):325–334MathSciNetCrossRefzbMATHGoogle Scholar
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  5. Stankiewicz J, Stankiewicz Z (1988) Convolution of some classes of functions. Folia Sci Univ Tech Resoviensis 48:93–101MathSciNetzbMATHGoogle Scholar

Copyright information

© Shiraz University 2017

Authors and Affiliations

  1. 1.Afagh Higher Education InstituteUrmiaIran
  2. 2.Department of MathematicsUrmia UniversityUrmiaIran

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